(a) Express the graph in Figure Q3(a) in terms of a unit step function and then find the Laplace transform for the function.

Q: Find the Laplace transform of cos 5t

A: To find the Laplace transform of cos 5t.

Q: - 2e

A: The given differential equation is  y"-4y = 2e3t with y(0) = 0 and y'(0) = 0.

Q: Q1/ Find the laplace transform for the following 1 - e-6t sin(10t-8)

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Q: 2 3 4

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Q: -25 -35

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Q: Find the LaPlace transform for the periodic function. 2 3 4. 3.

A: The graph of the given function is This function can be given by  f(t)=3if t∈2n,2n+10   t∈2n+1,2n+2…

Q: Q1/ Find the laplace transform for the following 1 - e-6t.sin(10t-8)

A: By using properties of Laplace transform we solve the given problem as follows :

Q: 2s -18 -as a function of x. 2 s*+9 Find the inverse laplace transform of -

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Q: 2. Find the Laplace transform L( te )

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Q: 2Ct-3) Cos Ct-3)

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Q: Express the graph in Figure Q3(a) in terms of a unit step function and then find the Laplace…

A: We have to find the Laplace transform of given graph in term of unit step function

Q: 1- cos t Find the Laplace transform of

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Q: Find the Laplace transform of the periodic function whose graph is shown. 1 2 3 4 5 6 7 8.

A: Equation of the given periodic function: Let's call this Periodic function as f(x). From the graph…

Q: Find the Laplace transform of e-4t cos6t.

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Q: e the inverse Laplace transform of

A: The given function is ss2+2s+2  to find the inverse Laplace Transform proceed as follows rewrite the…

Q: Determine the inverse Laplace transform. / 5s + 4 L-1 s2 + 9

A: Answer

Q: (a) 4 sin 3t

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Q: Example 3.2 Find the Laplace Transform of the following functions: (a) (b) 1 e at

A: The detailed solution is as follows below:

Q: Find the Laplace transform of the periodic function f(t) whose graph is given below. (Click on graph…

A: The equation of the line passes through (0, 0) to (2, 4) is  f(t)-0=2(t-0) f(t)= 2t  The equation of…

Q: Find the inverse Laplace transform of H(s) -6e-2s s2 – 2s

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Q: 1.a Find the Laplace transform of the function F(t) = e-2t (cosh 3t + sinh 5t)

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Q: Question 2 Find the inverse Laplace transform of -4s H(s) = - e

A: The solution is given as

Q: Find the LaPlace transform for the periodic function. 1. 2 3 4. 3.

A: Consider the given figure. Given that function is periodic function. We have to find the Laplace…

Q: 1. Show that the function 2t et cos (et“) is not of exponential order, however its Laplace transform

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Q: e2t+a (2 cos at – 3 cosh 2at) -

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Q: 1+ 2t Find the laplace transform of (i).

A: To find the laplace transform of the folowing function.1+2tt

Q: 3. Find the inverse Laplace Transform of the g

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Q: 4. e2t+a(2 cos at – 3 cosh 2at) -

A: It is given that the function ft=e2t+a2cosat-3cosh2at. We have to find the Laplace transform of ft…

Q: WHAT IS THE LAPLACE TRANSFORM OF THIS? (e-4t - e-t)

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Q: Find Laplace transform of the function t2 Sint.

A: Find Laplace transform of the function t2 Sint.

Q: Sketch the graph of the function below and determine its Laplace transform. (t- 3)2u(t- 3)

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Q: FIND THE LAPLACE TRANSFORM AND INVERSE LAPLACE TRANSFORM dx - + 7 = 5 cos 2t dy -

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Q: 1. Find the inverse Laplace transform of the function 2/ s (s + 1) with the help of convolution.

A: 2-2e^(-t)

Q: Find the Laplace Transform of et−2

A: L(eat)=1s-a.

Q: L{e-2t cos 4t}.

A: Some Laplace transform formula: L{eatcosbt}=s-a(s-a)2+b2           (1) Given function is:…

Q: Find the Laplace transform of the function graphed in Figure 6.1.2.

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Q: 1: Find the inverse Laplace transform of the function: -2s3+12s2-8s- 4 F(s) = (s-2)2(s+ 1)s

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Q: Find the Laplace transform of e-4t.

A: We can find the Laplace transform of given function.

Q: Derive the general formula for the Laplace transform of the following functions:

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Q: A- Find inverse Laplace transform of: 2e-5S S3

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Q: cosh^2at find the Laplace transform

A: f(t)=cosh2(at) we want to find the Laplace transform of a given function  formula L coshat=ss2-a2

Q: 2s +3 Deter mine the inverse Laplace transform. of

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Q: Find the Laplace transform of the periodic function whose graph is shown. 2 3 4 5

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Q: 12. Find the Laplace transform of the period function to f(1) = 2n-t <tS2n

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Q: (ii) -2t L[e Find the Laplace transform of sin2

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Q: gCx-3)= {; +マ ×く3 古xー言×, ×23

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Q: Example 4.1 Use the linear properties of the Laplace Transform in order to transform the following…

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Q: 1: A :Find Laplace Transform of f(t) = sin²t By Rule.

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Q: Solve for the Laplace transform : (number 12)

A: x(t)=cosh(3t)sin3tte5t      =e-5te3t+e-3t2sin3tt      =12t(e-2t+e-8t)sin3t…

Q: Q9. (a) i. Find Fourier transform off (x) = x e¯*,0< x < ∞. ii. Find the inverse Fourier sine…

A: